Nonstandard separation of variables for the Maxwell-Bloch conservative system

DOI10.1007/S40863-017-0079-3zbMath1393.37070OpenAlexW2766744872WikidataQ108075346 ScholiaQ108075346MaRDI QIDQ723344

Gaetano Zampieri, Gianluca Gorni

Publication date: 31 July 2018

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-017-0079-3

zbMATH Keywords

separation of variablesMaxwell-Bloch equationscompletely integrable systemnonlocal constant of motion

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lasers, masers, optical bistability, nonlinear optics (78A60) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (3)

Lagrangian dynamics by nonlocal constants of motion ⋮ Nonlocal and nonvariational extensions of Killing-type equations ⋮ A quasi separable dissipative Maxwell-Bloch system for laser dynamics

Cites Work

• Variational aspects of analytical mechanics
• On the Jacobian conjecture for global asymptotic stability
• Nonlocal and nonvariational extensions of Killing-type equations
• Bi-Hamiltonian structure and homoclinic orbits of the Maxwell--Bloch equations with RWA
• The stability problem and special solutions for the 5-components Maxwell-Bloch equations
• Nonlocal variational constants of motion in dissipative dynamics.
• Symmetries of the Maxwell-Bloch equations with the rotating wave approximation
• Unnamed Item

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